pith. sign in

arxiv: 1002.4174 · v1 · submitted 2010-02-22 · 🧮 math.NT · math.GM

Remark on the irrationality of the Brun's constant

classification 🧮 math.NT math.GM
keywords constantbruncalculatedclosecontinueddenominatorsn-thvalues
0
0 comments X
read the original abstract

We have calculated numerically geometrical means of the denominators of the continued fraction approximations to the Brun constant B2. We get values close to the Khinchin constant. Next we calculated the n-th square roots of the denominators of the n-th convergents of these continued fractions obtaining values close to the Khinchin-Levy constant. These two results suggests that B2 is irrational, supporting the common believe that there is an infinity of twins.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.